Abstract
In this paper, two new properties of singular value decomposition (SVD) on images are proved. The first property demonstrates the quantitative relationship between singular values and power spectrum. The second one proves that under the condition of losing equal power spectrum, the square-error of the reconstructed image is much smaller when we reduce all singular values proportionally instead of neglect the smaller ones. Based on the two properties, a new data-hiding scheme is proposed. It performs well as for robustness, for it satisfies power-spectrum condition (PSC), and PSC-compliant watermarks are proven to be most robust. Besides, the proposed scheme has a good performance as for capacity and adaptability.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Fabien, A.P., Petitcolas, R.J., Anderson, M., Kuhn, G.: Information Hiding - A Survey. Proceedings of the IEEE 87(7), 1062–1078 (1999)
Schyndel, R.G., Tirkel, A.Z., Osborne, C.F.: A Digital Watermark. Proceedings of IEEE International Conference on Image Processing 2, 86–90 (1994)
Barni, M., Bartolini, F., Cappellini, V., Piva, A.: A DCT-Domain System for Robust Image Watermarking. Signal Processing 66, 357–372 (1998)
Suhail, M.A., Obaidat, M.S.: Digital Watermarking-Based DCT and JPEG Model. IEEE Transactions on Instrumentation and Measurement 52, 1640–1647 (2003)
Hsieh, M.S., Tseng, D.C.: Hiding Digital Watermarks Using Multiresolution Wavelet Transform. IEEE Transactions on Industrial Electronics 48, 875–882 (2001)
Meerwald, P., Uhl, A.: A Survey of Wavelet-Domain Watermarking Algorithms. Proceedings of SPIE, Electronic Imaging, Security and Watermarking of Multimedia Contents III, 4314 (2001)
Gorodetski, V., Skormin, L.P.: SVD based Approach to Transparent Embedding Data into Digital Images, pp. 263–274. Springer, Heidelberg (2001)
Chandra, D.V.S.: Digital Image Watermarking using Singular Value Decomposition. Proceedings of 45th IEEE Midwest Symposium on Circuits and Systems, pp. 264–267 (2002)
Emir, G., Nasir, Z., Eskicioglu, A.M.: An Optimal Watermarking Scheme based on Singular Value Decomposition. In: Proceedings of the IASTED of International Conference on Communication, Network, and Information Security, pp. 85–90 (2003)
Seungjae, L., Jang, D.W., Chang, D.Y.: A SVD based Watermarking Method for Image Content Authentication with Improved Security. In: Proceeding of ICASSP, pp. 525–528 (2005)
Ganic, E., Eskicioglu, A.M.: Robust Embedding of Visual Watermarks using DWT-SVD. Journal of Electronic Imaging 14(4) (2005)
Dapena, A., Ahalt, S.: A Hybrid DCT-SVD Image-coding Algorithm. IEEE Trans. on Circuits and Systems for Video Technology 12(12), 114–221 (2002)
Erkan, Y., Ziya, T.: SVD Adapted DCT Domain DC Subband Image Watermarking Against Watermark Ambiguity. In: MRCS’06, pp. 66–73 (2006)
Sun, R., Sun, H., Yao, T.: An SVD-and Quantization based Semi-fragile Watermarking for Image Authentication. In: Proceeding of the 6th International Conference on Signal Processing. Beijing, pp. 1592–1595 (2002)
Hsien, C., Wu, C., Po, Y., Tsai, S.Y.: A Semi-fragile Watermarking Scheme Based on SVD and VQ Techniques. In: Proceeding of ICCSA, pp. 406–415 (2006)
Su, K.J., Girod, B.: Power Spectrum Condition for Energy Efficient Watermarking. In: Proceeding of International Conference on Image Processing, pp. 301–305 (1999)
Zhang, X.P., Li, K.: Comments on An SVD-Based Watermarking Scheme for Protecting Rightful Ownership. IEEE Transactions on Multimedia: Correspondence, 7 (2005)
Kakarala, R., Ogunbona, P.: Signal Analysis using Multiresolution Form of the Singular Value Decomposition. IEEE Trans. on Image processing (2001)
Ppenheim, A.V., Lim, J.S.: Importance of Phase in Signals. Proc. of IEEE 69(5), 529–541 (1981)
Ni, X.L., Huo, X.M.: Statistical Interpretation of the Importance of Phase Information in Signal and Image Reconstruction. Statistics & Probability Letters 77(4), 447–454 (2007)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer Berlin Heidelberg
About this paper
Cite this paper
Li, Yx., Zhang, Hb. (2007). Two Properties of SVD and Its Application in Data Hiding. In: Huang, DS., Heutte, L., Loog, M. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Theoretical and Methodological Issues. ICIC 2007. Lecture Notes in Computer Science, vol 4681. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74171-8_67
Download citation
DOI: https://doi.org/10.1007/978-3-540-74171-8_67
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74170-1
Online ISBN: 978-3-540-74171-8
eBook Packages: Computer ScienceComputer Science (R0)